2354068080 has 960 divisors, whose sum is σ = 10745978880. Its totient is φ = 447897600.

The previous prime is 2354068051. The next prime is 2354068091. The reversal of 2354068080 is 808604532.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 38591250 + ... + 38591310.

It is an arithmetic number, because the mean of its divisors is an integer number (11193728).

Almost surely, 2^2354068080 is an apocalyptic number.

2354068080 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2354068080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5372989440).

2354068080 is an abundant number, since it is smaller than the sum of its proper divisors (8391910800).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2354068080 is a wasteful number, since it uses less digits than its factorization.

2354068080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 2354068080 is about 48518.7394724966. The cubic root of 2354068080 is about 1330.2696195241.

The spelling of 2354068080 in words is "two billion, three hundred fifty-four million, sixty-eight thousand, eighty".